Question

If sin x + cos y = 1; x = 30° and y is an acute angle, find the value of y.​

Answer 1

Answer:

Y=60°

Step-by-step explanation:

given

x=30° putting the value

sin x = sin 30 = 1/2

so accoring to eqution 1/2+COS Y =1

COS Y = 1-1/2

COS Y =1/2

WE KNOW HALF = COS 60°

SO COS Y =COS 60

HENCE COMPARING BOTH SIDES Y =60°

Answer 2

Sin x= sin 30 =1/2

Therefore,

1/2 cos y =1/2

Cos y =1-1/2

Cos y = 1/2

Half is recommend as 60°

Hence cos y = cos 60°

{ y = 60°}